Question

How do you simplify `8^(-2/3)`?

Answer 1

`1/4`

Explanation:

`"using the "color(blue)"laws of exponents"`

`•color(white)(x)a^mhArr1/a^m`

`•color(white)(x)a^(m/n)hArr(root(n) a)^m`

`8^(-2/3)=1/8^(2/3)=1/(root(3)8)^2=1/2^2=1/4`